A program for computing the conical functions of the first kind Pm -1 2 +iτ(x) for m = O and m = 1

Published: 01-01-1981| Version 1 | DOI: 10.17632/vtbx3vz5gx.1
K.S. Kölbig


Title of program: FCONIC Catalogue Id: AAQH_v1_0 Nature of problem The conical functions Pm(-1/2+i*tau)(x) appear in a wide range of physical applications. Here we mention boundary value problems for the Laplace equation in regions bounded by cones, by two intersecting spheres, or by one or two confocal hyperboloids of revolution. Further, these functions are used in the Mehler-Fock integral transform for problems in potential and heat theory, and in elementary particle physics. Versions of this program held in the CPC repository in Mendeley Data AAQH_v1_0; FCONIC; 10.1016/0010-4655(81)90129-6 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)